亚纯函数正规族与分担集(英文) |
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引用本文: | 田宏根,陈玮,袁文俊.亚纯函数正规族与分担集(英文)[J].数学季刊,2015(2):159-165. |
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作者姓名: | 田宏根 陈玮 袁文俊 |
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作者单位: | School of Mathematics Science, Xinjiang Normal University;School of Mathematics and Information Science, Guangzhou University |
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摘 要: | In this paper,we study the normality criterion for families of meromorphic functions concerning shared set depending on f∈F.Let F be a family of meromorphic functions in the unit disc A.For each f∈F,all zeros of f have multiplicity at least 2 and there exist nonzero complex numbers b_f,c_f satisfying(i) b_f/c_f is a constant;(ii) min{σ(0,b_f),σ(0,c_f),σ(b_f,c_f)} ≥m for some m 0;(iii) E_f'(S_f)■ E_f(S_f),where S_f = {b_f,c_f}.Then F is normal in A.At the same time,the corresponding results are also proved.The results in this paper improve and generalize the related results of10-11]and
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关 键 词: | 亚纯函数 正规族 multiplicity generalize concerning normality nonzero spherical proof constants |
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